What is the Greatest Common Factor of 30516 and 30525?
Greatest common factor (GCF) of 30516 and 30525 is 3.
GCF(30516,30525) = 3
We will now calculate the prime factors of 30516 and 30525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30516 and 30525.
How to find the GCF of 30516 and 30525?
We will first find the prime factorization of 30516 and 30525. After we will calculate the factors of 30516 and 30525 and find the biggest common factor number .
Step-1: Prime Factorization of 30516
Prime factors of 30516 are 2, 3, 2543. Prime factorization of 30516 in exponential form is:
30516 = 22 × 31 × 25431
Step-2: Prime Factorization of 30525
Prime factors of 30525 are 3, 5, 11, 37. Prime factorization of 30525 in exponential form is:
30525 = 31 × 52 × 111 × 371
Step-3: Factors of 30516
List of positive integer factors of 30516 that divides 30516 without a remainder.
1, 2, 3, 4, 6, 12, 2543, 5086, 7629, 10172, 15258
Step-4: Factors of 30525
List of positive integer factors of 30525 that divides 30516 without a remainder.
1, 3, 5, 11, 15, 25, 33, 37, 55, 75, 111, 165, 185, 275, 407, 555, 825, 925, 1221, 2035, 2775, 6105, 10175
Final Step: Biggest Common Factor Number
We found the factors and prime factorization of 30516 and 30525. The biggest common factor number is the GCF number.
So the greatest common factor 30516 and 30525 is 3.
Also check out the Least Common Multiple of 30516 and 30525
Related Greatest Common Factors of 30516
- GCF of 30516 and 30520
- GCF of 30516 and 30521
- GCF of 30516 and 30522
- GCF of 30516 and 30523
- GCF of 30516 and 30524
- GCF of 30516 and 30525
- GCF of 30516 and 30526
- GCF of 30516 and 30527
- GCF of 30516 and 30528
- GCF of 30516 and 30529
- GCF of 30516 and 30530
- GCF of 30516 and 30531
- GCF of 30516 and 30532
- GCF of 30516 and 30533
- GCF of 30516 and 30534
- GCF of 30516 and 30535
- GCF of 30516 and 30536
Related Greatest Common Factors of 30525
- GCF of 30525 and 30529
- GCF of 30525 and 30530
- GCF of 30525 and 30531
- GCF of 30525 and 30532
- GCF of 30525 and 30533
- GCF of 30525 and 30534
- GCF of 30525 and 30535
- GCF of 30525 and 30536
- GCF of 30525 and 30537
- GCF of 30525 and 30538
- GCF of 30525 and 30539
- GCF of 30525 and 30540
- GCF of 30525 and 30541
- GCF of 30525 and 30542
- GCF of 30525 and 30543
- GCF of 30525 and 30544
- GCF of 30525 and 30545